On the Gap Between Random Dynamical Systems and Continuous Skew Products

被引：18

作者：

Arno Berger

Stefan Siegmund

机构：

[1] Vienna University of Technology,Institute of Mechanics

[2] Boston University,Department of Mathematics and Statistics

来源：

Journal of Dynamics and Differential Equations | 2003年 / 15卷 / 2-3期

关键词：

nonautonomous dynamical systems; random dynamical systems; skew product flows; almost periodic equations; almost automorphic equations;

D O I：

10.1023/B:JODY.0000009736.39445.c4

中图分类号：

学科分类号：

摘要：

We review the recent notion of a nonautonomous dynamical system (NDS), which has been introduced as an abstraction of both random dynamical systems and continuous skew product flows. Our focus is on fundamental analogies and discrepancies brought about by these two principal classes of NDS. We discuss base dynamics mainly through almost periodicity and almost automorphy, and we emphasize the importance of these concepts for NDS which are generated by differential and difference equations. Nonautonomous dynamics is presented by means of selected examples. We also mention several natural yet unresolved questions.

引用

页码：237 / 279

页数：42

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